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2123013500 = 225347611481
BaseRepresentation
bin111111010001010…
…1001110101111100
312110221211021000122
41332202221311330
513321442413000
6550355314112
7103416213506
oct17642516574
95427737018
102123013500
1199a427513
124b2bab938
1327aab7b0a
14161d5ad76
15c65b1085
hex7e8a9d7c

2123013500 has 96 divisors (see below), whose sum is σ = 4816191744. Its totient is φ = 816960000.

The previous prime is 2123013493. The next prime is 2123013511. The reversal of 2123013500 is 53103212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432760 + ... + 1434240.

It is an arithmetic number, because the mean of its divisors is an integer number (50168664).

Almost surely, 22123013500 is an apocalyptic number.

2123013500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408095872).

2123013500 is an abundant number, since it is smaller than the sum of its proper divisors (2693178244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2123013500 is a wasteful number, since it uses less digits than its factorization.

2123013500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2123013500 is about 46076.1706308152. The cubic root of 2123013500 is about 1285.2400546740.

Adding to 2123013500 its reverse (53103212), we get a palindrome (2176116712).

The spelling of 2123013500 in words is "two billion, one hundred twenty-three million, thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 61 94 100 122 125 188 235 244 250 305 470 500 610 940 1175 1220 1481 1525 2350 2867 2962 3050 4700 5734 5875 5924 6100 7405 7625 11468 11750 14335 14810 15250 23500 28670 29620 30500 37025 57340 69607 71675 74050 90341 139214 143350 148100 180682 185125 278428 286700 348035 358375 361364 370250 451705 696070 716750 740500 903410 1392140 1433500 1740175 1806820 2258525 3480350 4246027 4517050 6960700 8492054 8700875 9034100 11292625 16984108 17401750 21230135 22585250 34803500 42460270 45170500 84920540 106150675 212301350 424602700 530753375 1061506750 2123013500